English

Holomorphic maps between moduli spaces II

Geometric Topology 2024-12-03 v1 Algebraic Geometry Differential Geometry

Abstract

We prove that forgetful maps are the only non-constant holomorphic maps Mg,rMg,r\mathcal{M}_{g,r}\to \mathcal{M}_{g',r'} between moduli spaces, as long as g4g\ge 4 and g32g3g'\le 3\cdot 2^{g-3}.

Cite

@article{arxiv.2412.01257,
  title  = {Holomorphic maps between moduli spaces II},
  author = {Rodrigo De Pool and Juan Souto},
  journal= {arXiv preprint arXiv:2412.01257},
  year   = {2024}
}
R2 v1 2026-06-28T20:19:19.847Z